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Question

Let A = {1, 2, 3, 4, 5} The domain of the relation on A defined by R ={(x,y): y = 2x-1},is__________________.

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Solution

Given: R = {(x, y): y = 2x − 1}, where A = {1, 2, 3, 4, 5} and x, y ∈ A.

R = {(1, 1), (2, 3), (3, 5)}

Therefore, Domain of R = {1, 2, 3}.

Hence, the domain of the relation on A defined by R = {(x, y): y = 2x − 1}, is {1, 2, 3}.

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